A factory wants to maximize the number of hours their employees are not working each year. If none of the employees has a birthday on a given day of the year, then every employee must come to work all hours that day. If at least one person has a birthday on a given day, then none of the employees need to work that day. This factory has good work-life balance, so they want to hire the number of people that would maximize the expected total number of hours that employees are NOT working each year. How many employees should the factory hire? If the answer is infinite, answer .